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349960 = 23513673
BaseRepresentation
bin1010101011100001000
3122210001111
41111130020
542144320
611300104
72655202
oct1253410
9583044
10349960
11219a26
1214a634
13c33a0
1491772
156da5a
hex55708

349960 has 32 divisors (see below), whose sum is σ = 849240. Its totient is φ = 129024.

The previous prime is 349949. The next prime is 349963. The reversal of 349960 is 69943.

It can be written as a sum of positive squares in 4 ways, for example, as 188356 + 161604 = 434^2 + 402^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (349963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184 + ... + 856.

2349960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424620).

349960 is an abundant number, since it is smaller than the sum of its proper divisors (499280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

349960 is a wasteful number, since it uses less digits than its factorization.

349960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 349960 is about 591.5741711738. The cubic root of 349960 is about 70.4703025331.

The spelling of 349960 in words is "three hundred forty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 673 1346 2692 3365 5384 6730 8749 13460 17498 26920 34996 43745 69992 87490 174980 349960